Whole Numbers Test

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Whole Numbers Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

Number 169 can be represented by a 13 x 13 square grid. Which among the following can also be represented by a square grid?

A
49

B
52

C
35

D
20

Solution

We have, 7 x 7 = 49.
So, 49 can be represented by a 7 x 7 square grid.
Question 2
1 / -0

The property satisfied by addition or multiplication of whole numbers is ____________.

A
commutative property

B
associative property

C
closure property

D
None of these

Solution

The associative property states that you can add or multiply regardless of how the numbers are grouped.
(a + b) + c = a + (b + c)
(a x b) x c = a x (b x c)
Question 3
1 / -0

(3 + 4) x 1 = (3 x 1) + (4 x 1) is an example of ____________.

A
associative property

B
distributive property

C
closure property

D
commutative property

Solution

It is an example of distributive property. The distributive property tells us how to solve expressions of the form a(b + c).
Question 4
1 / -0

Which symbol will replace the question mark (?) below?

Place value of 5 in 4,154,129 ? Place value of 5 in 3,548,127

A
=

B
>

C
<

D
None of these

Solution

Place value of 5 in 4,154,129 = 50,000
Place value of 5 in 3,548,127 = 5,00,000
Place value of 5 in 4,154,129 < Place value of 5 in 3,548,127
Question 5
1 / -0

Which of the following statements is not true?

A. Whole numbers start from 0.
B. 99 is the largest whole number.
C. Every whole number has a successor.
D. Every natural number is a whole number.

A
A

B
B

C
C

D
D

Solution

The largest whole number is not 99, but infinity.
Question 6
1 / -0

The successor of 100588 is

A
100590

B
100589

C
100587

D
100550

Solution

The successor of 100588 = 100588 + 1 = 100589
Question 7
1 / -0

If p, q and r are three whole numbers, then the associative law is applicable on addition, if and only if

A
p - r = 0

B
p + q = 0

C
p = r

D
p ≠ r

Solution

Associative law in addition,
(p + q) + r = p + (q + r)
Hence, it will be applicable if p ≠ r.
Question 8
1 / -0

How many whole numbers are there between 32 and 94?

A
45

B
61

C
60

D
55

Solution

Number of whole numbers between 32 and 94 is 94 - 32 - 1 = 61
Question 9
1 / -0

Which of the following sets of numbers will make the given number sentence true?

________ + __________ - _________ = 25

A
5, 15, 20

B
10, 20, 5

C
5, 10, 20

D
15, 10, 10

Solution

5 + 15 - 20 = 0

10 + 20 - 5 = 25

5 + 10 - 20 = -5

15 + 10 - 10 = 15

Option (2) is correct.
Question 10
1 / -0

Which of the following is not true?

A
5 + 6 x 7 = (5 + 6) x (5 + 7)

B
(5 x 6) x 7 = 5 x (6 x 7)

C
(5 + 6) + 7 = 5 + (6 + 7)

D
5 x (6 + 7) = (5 x 6) + (5 x 7)

Solution

(i) 5 + 6 x 7 = (5 + 6) x (5 + 7)
5 + 42 = 11 x 12
47 ≠ 132

(ii) (5 x 6) x 7 = 5 x (6 x 7)
30 x 7 = 5 x 42
210 = 210

(iii) (5 + 6) + 7 = 5 + (6 + 7)
11 + 7 = 5 + 13
18 = 18

(iv) 5 x (6 + 7) = (5 x 6) + (5 x 7)
5 x 13 = 30 + 35
65 = 65
Option (1) is not true.
Question 11
1 / -0

What does the given number line represent?

A
5 x 4

B
2 + 4

C

D
4 - 2

Solution

The number line represents: 0 + 4 + 4 + 4 + 4 + 4
i.e. 5 x 4
Question 12
1 / -0

Which of the following operations satisfy the commutative law for whole numbers?

A. Addition and Subtraction
B. Addition and Multiplication
C. Division and Multiplication
D. Subtraction and Multiplication

A
D

B
C

C
A

D
B

Solution

Commutative law, in Mathematics, is either of the two laws relating to number operations of addition and multiplication, stated symbolically as:
a + b = b + a and ab = ba
Question 13
1 / -0

Every whole number is a predecessor of a/an _________.

A
integer

B
whole number

C
natural number

D
None of these

Solution

Whole numbers contain all numbers, starting from 0.
Hence, every whole number is a predecessor of a natural number.
Question 14
1 / -0

What is the additive identity of a natural number?

A
2

B
1

C
0

D
-1

Solution

Additive identity of a natural number is 0.
n + 0 = n = 0 + n
Question 15
1 / -0

Mannat packs 6 fruit baskets for a picnic. She puts 24 apples, 28 oranges and 16 mangoes in each basket. With the help of which property can we calculate the total number of fruits in 6 baskets?

A. Commutative property
B. Distributive property
C. Associative Property
D. None of these

A
B

B
C

C
A

D
D

Solution

Total number of fruits = 6 x (24 + 28 + 16) or 24 x 6 + 6 x 28 + 6 x 16

This is the distributive property.
Question 16
1 / -0

When we multiply 18 by a multiplicative identity, we get _________.

A
0

B
18

C
1

D
-18

Solution

The multiplicative identity states that any time you multiply a number by 1, the result, or product, is that original number. So, the product of 18 and a multiplicative identity will be 18.
Question 17
1 / -0

Which of the following is not true?

A. 2 + 0 = 2
B. 2 × 0 = 0
C. 2 - 0 = 2
D. 2 0 = 2

A
C

B
B

C
A

D
D

Solution

2 ÷ 0 is not defined.
Addition, subtraction and multiplication of a number by 0 is defined, but any number divided by 0 is not defined.
Question 18
1 / -0

In whole numbers, commutative law is satisfied with respect to operators ________.

A
(+, x)

B
(x, +)

C
(+, -)

D
All of these

Solution

Commutative law is applicable for all the operations.
Question 19
1 / -0

Which among the following cannot be arranged in a square by using dot [ . ] pattern?

A
25

B
16

C
9

D
18

Solution

Since 18 is not a perfect square, so we cannot make a square pattern of 18 dots.
Question 20
1 / -0

Which of the following properties is/are not applicable on division of different whole numbers?

A. Commutative property
B. Associative property
C. Closure property
D. All of these

A
A

B
B

C
C

D
D

Solution

Commutative law is not applicable for division of whole numbers.
Question 21
1 / -0

A wholesale fruit seller sells 120 kg of apples to a juice bar and another 50 kg to a retailer. If the apples cost Rs. 80 per kg, then how much money does he make in total on both transactions?

A
Rs. 13,600

B
Rs. 14,600

C
Rs. 15,600

D
Rs. 15,000

Solution

Quantity of apples sold to juice bar = 120 kg
Quantity of apples sold to retailer = 50 kg
Total quantity of apples sold = 120 + 50 = 170 kg
Cost of 1 kg = Rs. 80
Cost of 170 kg = 170 x 80 = Rs. 13,600
Question 22
1 / -0

On a daily basis, Manish earns Rs. 80 by selling newspapers, Rs. 180 by working as a storekeeper and Rs. 220 by working in a factory. Komal earns Rs. 90 by selling newspapers, Rs. 200 by working as a storekeeper and Rs. 260 by working in a factory everyday.

What are their combined daily earnings?

A
Rs. 1250

B
Rs. 1000

C
Rs. 1300

D
Rs. 1030

Solution

Daily earnings of Manish = 80 + 180 + 220 = Rs. 480

Daily earnings of Komal = 90 + 200 + 260 = Rs. 550

Combined daily earnings = Rs. 480 + Rs. 550 = Rs. 1030
Question 23
1 / -0

80 chocolates can be packed in 1 box. How many boxes are required to pack 3360 chocolates?

A
40

B
42

C
38

D
35

Solution

Number of chocolates packed in 1 box = 80

Total number of chocolates = 3360

Number of boxes required to pack 3360 chocolates == 42
Question 24
1 / -0

There are 336 blue marbles in a bag. A man takes out 8 blue marbles from it and replaces them with 16 red marbles. He continues to do so until all blue marbles are replaced with red marbles. In the end, the number of red marbles in the bag is _____________.

A
100

B
182

C
192

D
650

Solution

Let n be the number of steps.
According to question:
336 - (8 x n) = 0
8n = 336
n = 12
Now, number of red balls put in the bag in each step = 16
Number of red marbles put in the bag in 12 steps = 16 x 12 = 192
Question 25
1 / -0

Chirag had Rs. 4,20,000. He gave Rs. 45,200 to Jai, Rs. 1,20,000 to Joe, and Rs. 1,80,000 to John. How much money was left with him?

A
Rs. 74,800

B
Rs. 75,820

C
Rs. 70,800

D
Rs. 65,200

Solution

Total money given to Jai, Joe and John = Rs. 45,200 + Rs. 1,20,000 + Rs. 1,80,000
Money left = Rs. 4,20,000 - (Rs. 45,200 + Rs. 1,20,000 + Rs. 1,80,000)
= Rs. 4,20,000 - Rs. 3,45,200 = Rs. 74,800

Question 26

1 / -0

If p, q and r are whole numbers, then match the following:

	Column 1		Column 2
1.	p + q = q + p	a.	Commutative property
2.	(p + q) + r = p + (q + r)	b.	Distributive property
3.	p(q + r) = pq + pr	c.	Associative property
		d.	Closure property

1 - C, 2 - A, 3 - D

1 - A, 2 - C, 3 - B

1 - A, 2 - C, 3 - D

1 - D, 2 - A, 3 - D

Solution

1. p + q = q + p is the commutative property.
2. (p + q) + r = p + (q + r) is the associative property.
3. p(q + r) = pq + pr is the distributive property.

Question 27

1 / -0

State T for True and F for False:

1. Product of any two natural numbers is always more than their sum.
2. Natural numbers start from 0.
3. If a natural number is divided by another natural number (the second is bigger), then the answer will always be less than 1.

	I	II	III
A	T	F	F
B	F	F	F
C	F	F	T
D	T	T	T

A

B

C

D

Solution

(1) The product of any two natural numbers is not always more than their sum.
In case of 1 and 2, it is not correct.
(2) Natural numbers start from 1. So, it is false.
(3) If a natural number is divided by another natural number, it will always be less than 1.
So, option (3) is correct.

Question 28
1 / -0

Directions: Study the following statements and choose the correct option accordingly.

Statement 1: Addition of natural numbers is commutative.
Statement 2: Multiplication of natural numbers is closed and associative.

A. Both Statement 1 and Statement 2 are true.
B. Statement 1 is true, but Statement 2 is false.
C. Statement 1 is false, but Statement 2 is true.
D. Both Statement 1 and Statement 2 are false.

A
D

B
A

C
B

D
C

Solution

Statement 1 is true because the addition of natural numbers is always commutative.
1 + 2 = 2 + 1
Statement 2 is true because multiplication of natural number is closed and associative.
1 x (2 x 4) = (1 x 2) x 4
Both statements are true.

Question 29

1 / -0

Match the following:

	Column - I	Column - II
I	The smallest natural number is	6
II	The whole number that has no predecessor is	1
III	When 5 is added to the smallest natural number, the result will be	0

	I	II	III
A	1	0	6
B	0	1	6
C	6	0	1
D	0	6	1

B

A

C

D

Solution

The smallest natural number is 1.
The whole number that has no predecessor is 0.
When 5 is added to the smallest natural number, the result will be: 5 + 1 = 6.

Question 30

1 / -0

Fill in the blanks.

1. The product of any two odd natural numbers is __________.
2. The product of the smallest whole number and 1562 is _________.
3. The sum of the biggest two-digit natural number and 1 is ______.
4. If a and b are two natural numbers and b > a, then a - b is always _________.

	1	2	3	4
A	even	1	99	negative
B	odd	0	100	negative
C	even	0	0	positive
D	odd	1	100	zero

B

A

C

D

Solution

1. The product of two odd numbers = Odd
2. Smallest whole number is 0 and therefore, 0 x 1562 = 0.
3. Biggest two-digit number is 99. So, 99 + 1 = 100.
4. If a and b are natural numbers and b > a, then a - b will always be negative.
Option (1) is correct.

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Whole Numbers Test - 10

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Whole Numbers Test - 10

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SHARING IS CARING

Question 1

49

52

35

20

Solution

Question 2

commutative property

associative property

closure property

None of these

Solution

Question 3

associative property

distributive property

closure property

commutative property

Solution

Question 4

=

>

<

None of these

Solution

Question 5

A

B

C

D

Solution

Question 6

100590

100589

100587

100550

Solution

Question 7

p - r = 0

p + q = 0

p = r

p ≠ r

Solution

Question 8

45

61

60

55

Solution

Question 9

5, 15, 20

10, 20, 5

5, 10, 20

15, 10, 10

Solution

Question 10

5 + 6 x 7 = (5 + 6) x (5 + 7)

(5 x 6) x 7 = 5 x (6 x 7)

(5 + 6) + 7 = 5 + (6 + 7)

5 x (6 + 7) = (5 x 6) + (5 x 7)

Solution

Question 11

5 x 4

2 + 4

4 - 2

Solution

Question 12

D

C

A

B

Solution

Question 13